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Finding the Third Proportional to 75,688 and 102,839

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Solution

The third proportional to 75,688 and 102,839 is: 139,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688 : 102,839 = 102,839 : x
  2. Step 2: Convert to fraction form
    75,688/102,839 = 102,839/x
  3. Step 3: Cross multiply
    75,688x = 102,839 × 102,839
  4. Step 4: Simplify right side
    75,688x = 10,575,859,921
  5. Step 5: Solve for x
    x = 10,575,859,921/75,688
  6. Step 6: Final answer
    x = 139,729.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.